Question

Calculate the overall percentage of victor.

Student nameSubjects(Maximum marks)	Maths(200)	Computer science(100)	Social Science(100)	Physics(150)	Chemistry(150)	Biology(200)
Ganesh	180	90	80	145	120	150
Priya	200	90	85	140	130	120
Sudha	150	80	90	130	120	190
Victor	120	50	80	120	100	180
George	100	70	50	100	145	170
Anish	90	60	60	80	125	150

Answer 1

Hint: We need to find the overall percentage of victor. We start to solve the question by finding out the marks scored by the victor. Then, we need to find out the Total maximum marks of all the subjects. The ratio of victor marks to total maximum marks gives us the desired result.

Complete step-by-step answer:
We are given marks of victor and need to calculate the overall percentage of victor. We will be solving the given question by finding the ratio of total marks scored by victor to the total maximum marks that can be obtained.
A percentage is a value expressed as a fraction of a hundred or $\dfrac{1}{100}$ . It is denoted by the symbol
 ’$\%\;$’. The value expressed as a percentage does not have any dimension or unit of measurement.
For Example:
$\Rightarrow 2\%,3\%$
According to the question, we need to find the overall percentage of victor.
From the table, the marks scored by victor are given as follows,
Maths $=\;$ 120
Computer Science $=\;$ 50
Social Science $=\;$ 80
Physics $=\;$ 120
Chemistry $=\;$ 100
Biology $=\;$ 180
We need to find the sum of the total marks scored by victor in all the subjects
$\Rightarrow$ Total marks scored by victor $=\;$ $120+50+80+120+100+180$
 Total marks scored by victor $=\;$ $650\;$
From the table, the maximum marks that can be scored in a subject are given as follows,
Maths $=\;$ 200
Computer Science $=\;$ 100
Social Science $=\;$ 100
Physics $=\;$ 150
Chemistry $=\;$ 150
Biology $=\;$ 200
We need to find the sum of the total maximum marks in all subjects.
$\Rightarrow$ Total maximum marks in all subjects $=\;$ $200+100+100+150+150+200$
$\therefore$ Total maximum marks in all subjects $=\;$ $900$
We know that,
$\Rightarrow$ Overall percentage scored by victor $\;=$ $\dfrac{Total\text{ }marks\text{ }scored\text{ }by\text{ }victor}{Total\text{ }maximum\text{ }marks\text{ }in\text{ }all\text{ }subjects}\times 100\%$
Substituting the values, we get,
$\Rightarrow$ Overall percentage scored by victor $=\;$ $\dfrac{650}{900}\times 100\%$
Cancelling the common factors, we get,
$\Rightarrow$ Overall percentage scored by victor $=\;$ $0.72222\times 100\%$
$\therefore$ Overall percentage scored by victor $=\;$ $72.222\%\;$

Note: We need to keep in mind that the correct formula has to be applied and the values substituted should be correct while solving these questions. We should always remember to multiply by 100 to get the value in percentage.